Revizija i poboljšanje nekih novih rezultata u F-metričkim prostorima

DOI: https://doi.org/10.5937/vojtehg69-29615
Ključne reči: F-metrički prostor, F-kontrakcija, fiksna tačka

Sažetak


Uvod/cilj: Ovaj rad uspostavlja nekoliko novih kontraktivnih uslova u kontekstu takozvanih F-metričkih prostora. Glavni cilj je generalizacija, proširenje, poboljšanje, dopuna i objedinjenje već dobijenih rezultata u postojećoj literaturi. Korišćeno je samo svojstvo (F1) Vardovskog, kao i jedna dobro poznata lema za dokaz da je Pikarov niz F-Košijev u okviru F-metričkog prostora. 

Metode: Korišćene su metode metričke teorije fiksne tačke.

Rezultati: Objavljeni su novi rezultati u vezi sa F-kontrakcijama za dva preslikavanja u okviru F-kompletnih F-metričkih prostora.

Zaključak: Dobijeni rezultati predstavljaju značajna poboljšanja, kao i pravu generalizaciju nekih nedavno objavljenih rezultata, što pokazuje primer naveden na kraju rada.

Reference

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Objavljeno
2021/03/22
Broj časopisa
Vol. 69 Br. 2 (2021): april – jun
Rubrika
Originalni naučni radovi
Sva prava zadržana (c) 2021 Vojnotehnički glasnik / Military Technical Courier

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